Jerk-Limited Time-Optimal Model Predictive Path Following Control of Cable-Driven Parallel Robots

Motion planning and control of cable-driven parallel robots (CDPRs) suffer from difficulties imposed by the flexibility and unilateral property of cables. In contrast to trajectory tracking control which has been extensively studied, path following control of CDPRs has been seldom addressed in exist...

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Veröffentlicht in:IEEE robotics and automation letters Jg. 8; H. 10; S. 6731 - 6738
Hauptverfasser: Wang, Ruobing, Li, Yangmin
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Piscataway IEEE 01.10.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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ISSN:2377-3766, 2377-3766
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Abstract Motion planning and control of cable-driven parallel robots (CDPRs) suffer from difficulties imposed by the flexibility and unilateral property of cables. In contrast to trajectory tracking control which has been extensively studied, path following control of CDPRs has been seldom addressed in existing works. In this letter, we present a real-time model predictive control (MPC) scheme for jerk-limited time-optimal path following control of CDPRs. The proposed MPC scheme solves the control inputs and the timing law of the desired path by simultaneously minimizing the path following error and maximizing the path progress subject to the input and state constraints. To reduce computational complexity, a convex MPC formulation is derived by iteratively linearizing the dynamics and constraints. A high-speed solver for the proposed MPC is developed by leveraging the iterative linear quadratic regulator (iLQR) algorithm and the augmented Lagrangian (AL) method. The feasibility and robustness of the proposed method are validated on a laboratory-developed CDPR through simulations. Experiment results demonstrate that the proposed method outperforms the trajectory scaling method in terms of motion accuracy and motion smoothness.
AbstractList Motion planning and control of cable-driven parallel robots (CDPRs) suffer from difficulties imposed by the flexibility and unilateral property of cables. In contrast to trajectory tracking control which has been extensively studied, path following control of CDPRs has been seldom addressed in existing works. In this letter, we present a real-time model predictive control (MPC) scheme for jerk-limited time-optimal path following control of CDPRs. The proposed MPC scheme solves the control inputs and the timing law of the desired path by simultaneously minimizing the path following error and maximizing the path progress subject to the input and state constraints. To reduce computational complexity, a convex MPC formulation is derived by iteratively linearizing the dynamics and constraints. A high-speed solver for the proposed MPC is developed by leveraging the iterative linear quadratic regulator (iLQR) algorithm and the augmented Lagrangian (AL) method. The feasibility and robustness of the proposed method are validated on a laboratory-developed CDPR through simulations. Experiment results demonstrate that the proposed method outperforms the trajectory scaling method in terms of motion accuracy and motion smoothness.
Author Wang, Ruobing
Li, Yangmin
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crossref_primary_10_1016_j_measurement_2025_117567
crossref_primary_10_1109_TCDS_2024_3489773
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Snippet Motion planning and control of cable-driven parallel robots (CDPRs) suffer from difficulties imposed by the flexibility and unilateral property of cables. In...
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SubjectTerms Algorithms
Cables
Heuristic algorithms
Iterative methods
Linear quadratic regulator
motion control
Motion planning
Optimization
optimization and optimal control
Parallel robots
Planning
Predictive control
Predictive models
Robot control
Robot dynamics
Robots
Smoothness
Time optimal control
Timing
Tracking control
Trajectory
Trajectory control
Trajectory planning
Trajectory tracking
Title Jerk-Limited Time-Optimal Model Predictive Path Following Control of Cable-Driven Parallel Robots
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